Least Common Multiple of 257 and 263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 257 and 263 the smallest integer that is 67591 that is divisible by both numbers.

Least Common Multiple (LCM) of 257 and 263 is 67591.

LCM(257,263) = 67591

LCM of 257 and 263

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 257 and 263

LCM of 257 and 263 is 67591

Least common multiple can be found by multiplying the highest exponent prime factors of 257 and 263. First we will calculate the prime factors of 257 and 263.

Prime Factorization of 257


257 257
1

Prime factors of 257 are 257. Prime factorization of 257 in exponential form is:

257 = 2571

Prime Factorization of 263


263 263
1

Prime factors of 263 are 263. Prime factorization of 263 in exponential form is:

263 = 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 257 and 263.

LCM(257,263) = 2571×2631
LCM(257,263) = 67591

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1, 257

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1, 263

Least Common Multiple of 257 and 263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 257 and 263, than apply into the LCM equation.

GCF(257,263) = 1
LCM(257,263) = ( 257 × 263) / 1
LCM(257,263) = 67591 / 1
LCM(257,263) = 67591

Properties of LCM 257 and 263

(i) The LCM of 263 and 257 is associative

LCM of 257 and 263 = LCM of 263 and 257

Related Least Common Multiples of 257

Related Least Common Multiples of 263

Frequently Asked Questions on LCM of 257 and 263

1. What is the LCM of 257 and 263?

Answer: LCM of 257 and 263 is 67591.

2. What are the Factors of 257?

Answer: Factors of 257 are 1, 257. There are 2 integers that are factors of 257. The greatest factor of 257 is 257.

3. What are the Factors of 263?

Answer: Factors of 263 are 1, 263. There are 2 integers that are factors of 263. The greatest factor of 263 is 263.

4. How to Find the LCM of 257 and 263?

Answer:

Least Common Multiple of 257 and 263 = 67591

Step 1: Find the prime factorization of 257

257 = 257

Step 2: Find the prime factorization of 263

263 = 263

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 67591 = 257 x 263

Step 4: Therefore, the least common multiple of 257 and 263 is 67591.